How Does Wavelength Influence the Power of a Wave on a String?

[ChloeYip]

Homework Statement

http://i.imgur.com/sWZS9vQ.png

Homework Equations

P=½ √μF ω² A²

The Attempt at a Solution

How is the equation related to the wavelength?
Thanks

 

[haruspex]

How is the equation related to the wavelength

Your relevant equation has frequency in it. What connects that with wavelength?

 

[ChloeYip]

Where is frequency in the equation?
the F in the equation isn't meaning force (i.e. tension)?

 

[haruspex]

Where is frequency in the equation?
the F in the equation isn't meaning force (i.e. tension)?

It's your equation. If you say F is tension you must be right. (What's μ?)
Anyway, take a look at http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/powstr.html

 

[ChloeYip]

well, i think w is directly proportional to frequency from this web, leading the answer b, right?

frankly, i just copy the equation from my textbook "university physics" of Young & Freedman
every symbol means the same to the website other than F is missing in the website.
does it mean anything for the difference?
thanks

 

[haruspex]

well, i think w is directly proportional to frequency from this web, leading the answer b, right?

frankly, i just copy the equation from my textbook "university physics" of Young & Freedman
every symbol means the same to the website other than F is missing in the website.
does it mean anything for the difference?
thanks

Since wave velocity is √(tension/linear density), the two equations are the same.
ω is the angular frequency, i.e. in radians/time, rather than in oscillations/time.

 

[ChloeYip]

w is directly proportional to frequency

what i mean is w = 2 pi f

wave velocity is √(tension/linear density)

thanks for telling me this new thing :)

 

[haruspex]

thanks for telling me this new thing :)

See e.g. http://hyperphysics.phy-astr.gsu.edu/hbase/Waves/string.html

what i mean is w = 2 pi f

Right.